Ultra Test Norms

Ultra Test Results

Last updated: June 10, 1997

Ronald Hoeflin reports:

As of July 1, 1996, 33 people have attempted the Ultra Test. Their scores, on a scale of 0 to 72 (with verbal problems counting one point and nonverbal problems counting two points, with half a point for slightly incorrect verbal answers), were as follows:

9	34	51
14	36	52
16	36	59
17	37.5	62
27	38	62.5
28	41	64.5
30	43.5	65
30	45	67
30	47.5	68
30.5	49.5	68
34	50	68

The median score (50th percentile) was 41 and the mean score was 42.74, or rounded off 43. There were 79 usable scores from previous tests reported, yielding 79 pairs of scores, the other half of each pair being the score achieved above on the Ultra Test. I arranged each group of 79 scores in numerical order from lowest to highest, smoothed the rough edges a bit, and arrived at the following norms for the Ultra Test. IQ's are based on a normal distribution curve and 16 IQ points per standard deviation. Some extrapolation and interpolation was required, of course, to arrive at these results.

Raw score	I.Q.	%ile	Raw score	I.Q.	%ile
1	100	50	37	143	99.6
2	102	55	38	144	99.7
3	104	60	39	144	99.7
4	106	65	40	145	99.8
5	108	69	41	145	99.8
6	110	73	42	146	99.8
7	112	77	43	146	99.8
8	114	81	44	147	99.8
9	116	84	45	147	99.8
10	118	87	46	148	99.87
11	119	88	47	148	99.87
12	120	89	48	149	99.89
13	121	90	49	149	99.89
14	122	92	50	150	99.9
15	123	92	51	150	99.9
16	124	93	52	151	99.9
17	125	94	53	151	99.9
18	126	95	54	152	99.9
19	127	95	55	152	99.9
20	128	97	56	153	99.95
21	129	97	57	153	99.95
22	130	97	58	154	99.96
23	131	97	59	155	99.97
24	132	98	60	156	99.98
25	133	98	61	158	99.985
26	134	98	62	160	99.99
27	135	99	63	162	99.995
28	136	99	64	164	99.997
29	137	99	65	166	99.998
30	138	99	66	168	99.999
31	139	99	67	170	99.9994
32	140	99	68	172	99.9997
33	141	99	69	174	99.9998
34	142	99.5	70	176	99.9999
35	142	99.5	71	178	99.9999
36	143	99.6	72	180	99.99997

Regarding the last five problems in the Ultra Test, the spatial sequences, the performance of the 33 participants, when they are divided into the top eleven scorers, the middle eleven scorers, and the bottom eleven scorers on the test as a whole, looked like this:

The top eleven scorers had a 64 percent success rate (i.e., they solved a total of 35 right out of 55 attempted problems)¹, the middle eleven scorers had a 25 percent success rate (i.e., they solved a total of 14 problems out of 55), and the bottom third had a success rate of 16 percent (i.e., they were successful a total of 9 times out of 55 attempted problems).

For problem 50, the top eleven all successfully solved the problem; the middle eleven were successful 7 times out of 11; and the bottom eleven were successful 5 times out of 11.

For problem 51, the top eleven were right 4 times out of 11; the middle third were successful 2 times out of 11; and the bottom third were successful 1 time out of 11.

For problem 52, the top third were successful 9 times out of 11; the middle third were successful 5 times out of 11; and the bottom third were successful 2 times out of 11.

For problem 53, the top third were successful 4 times out of 11; the middle third were successful 0 times out of 11; and the bottom third were successful 0 times out of 11.

And for problem 54, the top third were successful 7 times out of 11; the middle third were successful 0 times out of 11; and the bottom third were successful 1 time out of 11.

¹ That is, the top 11 in overall score averaged 3.2 correct on the last five problems. -- DTM

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